On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector

Using a recently developed perturbation formalism based on curvature quantities, we investigate the linear stability of black ho les and solitons with Yang-Mills hair and a negative cosmological constant. We show that those solutions which have no linear instabilities und er odd- and even-parity spherically symmetric perturbations remain s table under odd- parity, linear, non-spherically symmetric perturbations .